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Finding the Third Proportional to 557,452 and 841,402

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Solution

The third proportional to 557,452 and 841,402 is: 1,269,987.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,452 : 841,402 = 841,402 : x
  2. Step 2: Convert to fraction form
    557,452/841,402 = 841,402/x
  3. Step 3: Cross multiply
    557,452x = 841,402 × 841,402
  4. Step 4: Simplify right side
    557,452x = 707,957,325,604
  5. Step 5: Solve for x
    x = 707,957,325,604/557,452
  6. Step 6: Final answer
    x = 1,269,987.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.